• Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler. The subtitle alludes to the infinitesimal numbers of the hyperreal number...
    13 KB (1,370 words) - 18:05, 24 January 2025
  • mathematics, nonstandard calculus is the modern application of infinitesimals, in the sense of nonstandard analysis, to infinitesimal calculus. It provides a rigorous...
    25 KB (3,981 words) - 00:52, 10 February 2025
  • Thumbnail for Infinitesimal
    Robinson's infinitesimals include texts by Stroyan (dating from 1972) and Howard Jerome Keisler (Elementary Calculus: An Infinitesimal Approach). Students...
    37 KB (5,092 words) - 16:24, 23 May 2025
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    The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard...
    31 KB (3,978 words) - 00:54, 22 April 2025
  • related notions derived from the early days of calculus, put on a rigorous footing, such as infinitesimal differences and the derivatives of functions....
    27 KB (3,994 words) - 18:39, 27 May 2025
  • of calculus Generality of algebra Elementary Calculus: An Infinitesimal Approach Nonstandard calculus Infinitesimal Archimedes' use of infinitesimals For...
    4 KB (389 words) - 12:14, 10 February 2024
  • Elementary calculus may refer to: The elementary aspects of differential and integral calculus; Elementary Calculus: An Infinitesimal Approach, a textbook...
    214 bytes (55 words) - 10:03, 28 December 2019
  • Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series...
    55 KB (6,777 words) - 16:36, 30 May 2025
  • formulation of the transfer principle is Keisler's book Elementary Calculus: An Infinitesimal Approach. Every real x {\displaystyle x} satisfies the inequality...
    18 KB (2,686 words) - 16:19, 23 May 2025
  • mathematics education, calculus is an abbreviation of both infinitesimal calculus and integral calculus, which denotes courses of elementary mathematical analysis...
    76 KB (8,805 words) - 06:25, 7 June 2025
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    al. 2012, p. 292 Keisler, H. Jerome (2023) [1986], Elementary Calculus: An Infinitesimal Approach, Prindle, Weber & Schmidt, pp. 29–30 Conway, John H...
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  • arithmetic in the sense of Skolem. Howard Jerome Keisler: Elementary Calculus: An Infinitesimal Approach. First edition 1976; 2nd edition 1986. This book is...
    2 KB (294 words) - 10:37, 22 November 2024
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    Leibniz's notation (category Mathematics of infinitesimals)
    first-year calculus textbook, Elementary calculus: an infinitesimal approach, based on Robinson's approach. From the point of view of modern infinitesimal theory...
    24 KB (3,099 words) - 02:27, 2 May 2025
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    Hyperreal number (category Mathematics of infinitesimals)
    Hyperreals. A gentle introduction. Keisler, Elementary Calculus: An Approach Using Infinitesimals. Includes an axiomatic treatment of the hyperreals, and...
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  • representing an infinitesimally small quantity, Keisler published Elementary Calculus: An Infinitesimal Approach, a first-year calculus textbook conceptually...
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    Isaac Newton (category History of calculus)
    Hall 1980, pp. 1, 15, 21. H. Jerome Keisler (2013). Elementary Calculus: An Infinitesimal Approach (3rd ed.). Dover Publications. p. 903. ISBN 978-0-486-31046-6...
    171 KB (18,277 words) - 15:25, 6 June 2025
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    version here. Keisler, H. Jerome (2012) [1986], Elementary Calculus: An Approach Using Infinitesimals (2nd ed.), Prindle, Weber & Schmidt, ISBN 978-0-871-50911-6...
    57 KB (7,280 words) - 04:41, 1 June 2025
  • Differential of a function (category Differential calculus)
    ISBN 978-0-19-506136-9 Keisler, H. Jerome (1986), Elementary Calculus: An Infinitesimal Approach (2nd ed.). Kock, Anders (2006), Synthetic Differential...
    32 KB (4,766 words) - 00:09, 31 May 2025
  • one. Multivariable calculus may be thought of as an elementary part of calculus on Euclidean space. The special case of calculus in three dimensional...
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    Integral (redirect from Integral calculus)
    Elementary Calculus: An Approach Using Infinitesimals, University of Wisconsin Stroyan, K. D., A Brief Introduction to Infinitesimal Calculus, University...
    69 KB (9,288 words) - 18:38, 23 May 2025
  • Meanwhile, calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the study of continuous change. Discrete calculus has two...
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  • infinitesimals, an operation that we would now call integration. The origins of differentiation likewise predate the fundamental theorem of calculus by...
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  • Standard part function (category Calculus)
    1007/978-1-4612-0615-6. ISBN 978-0-387-98464-3. H. Jerome Keisler. Elementary Calculus: An Infinitesimal Approach. First edition 1976; 2nd edition 1986. (This book is...
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  • bends, or cusps. differential (infinitesimal) The term differential is used in calculus to refer to an infinitesimal (infinitely small) change in some...
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    Cours d'analyse (category Mathematics of infinitesimals)
    algébrique ("Analysis Course" in English) is a seminal textbook in infinitesimal calculus published by Augustin-Louis Cauchy in 1821. The article follows...
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  • analysis Non-standard calculus Hyperinteger Hyperreal number Transfer principle Overspill Elementary Calculus: An Infinitesimal Approach Criticism of non-standard...
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  • Increment theorem (category Theorems in calculus)
    Nonstandard calculus Elementary Calculus: An Infinitesimal Approach Abraham Robinson Taylor's theorem Howard Jerome Keisler: Elementary Calculus: An Infinitesimal...
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    Infinity (section Calculus)
    (1990), Elementary Topology (2nd ed.), Dover, ISBN 978-0-486-66522-1 Keisler, H. Jerome (1986), Elementary Calculus: An Approach Using Infinitesimals (2nd ed...
    54 KB (6,115 words) - 05:16, 7 June 2025
  • Thumbnail for Cavalieri's principle
    Cavalieri's principle (category History of calculus)
    Evangelista Torricelli's and John Wallis's infinitesimals was a major advance in the history of calculus. The indivisibles were entities of codimension...
    15 KB (1,966 words) - 13:34, 1 May 2025
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    Extreme value theorem (category Theorems in calculus)
     89–90. ISBN 0-07-054235-X. Keisler, H. Jerome (1986). Elementary Calculus : An Infinitesimal Approach (PDF). Boston: Prindle, Weber & Schmidt. p. 164. ISBN 0-87150-911-3...
    22 KB (3,926 words) - 10:22, 17 May 2025